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There are several methods for constructing secret sharing schemes, one of which is based on coding theory. Theoretically, every linear code can be used to construct secret sharing schemes. However, in general, determining the access…

Cryptography and Security · Computer Science 2013-09-06 Yun Song , Zhihui Li

The recent discovery of fully-homomorphic classical encryption schemes has had a dramatic effect on the direction of modern cryptography. Such schemes, however, implicitly rely on the assumptions that solving certain computation problems…

Quantum Physics · Physics 2018-10-31 Yingkai Ouyang , Si-Hui Tan , Joseph Fitzsimons

Secret sharing schemes are widely used now a days in various applications, which need more security, trust and reliability. In secret sharing scheme, the secret is divided among the participants and only authorized set of participants can…

Cryptography and Security · Computer Science 2014-06-24 V P Binu , A Sreekumar

We construct general schemes for multi-partite quantum secret sharing using multi-level systems, and find that the consistent conditions for valid measurements can be summarized in two simple algebraic conditions. The scheme using the very…

Quantum Physics · Physics 2015-07-22 I-Ching Yu , Feng-Li Lin , Ching-Yu Huang

Quantum secret sharing is well known as a method for players to share a classical secret for secret sharing in quantum mechanical ways. Most of the results associated with quantum secret sharing are based on pure multipartite entangled…

Quantum Physics · Physics 2018-09-11 Minjin Choi , Yonghae Lee , Soojoon Lee

A $((k,n))$ quantum threshold secret sharing (QTS) scheme is a quantum cryptographic protocol for sharing a quantum secret among $n$ parties such that the secret can be recovered by any $k$ or more parties while $k-1$ or fewer parties have…

Quantum Physics · Physics 2023-05-31 Kaushik Senthoor , Pradeep Kiran Sarvepalli

We introduce a new graphical framework for designing quantum error correction codes based on classical principles. A key feature of this graphical language, over previous approaches, is that it is closely related to that of factor graphs or…

Quantum Physics · Physics 2020-02-11 Joschka Roffe , Stefan Zohren , Dominic Horsman , Nicholas Chancellor

Sequential Quantum Secret Sharing schemes (QSS) do not use entangled states for secret sharing, rather they rely on sequential operations of the players on a single state which is circulated between the players. In order to check the…

Quantum Physics · Physics 2017-10-02 Marzieh Asoudeh , Vahid Karimipour

This paper addresses multi-user quantum key distribution networks, in which any two users can mutually exchange a secret key without trusting any other nodes. The same network also supports conventional classical communications by assigning…

Quantum Physics · Physics 2012-11-27 Mohsen Razavi

A general class of authentication schemes for arbitrary quantum messages is proposed. The class is based on the use of sets of unitary quantum operations in both transmission and reception, and on appending a quantum tag to the quantum…

Quantum Physics · Physics 2015-06-26 Esther Perez , Marcos Curty , David J. Santos , Priscila Garcia-Fernandez

We investigate CSS and CSS-T quantum error-correcting codes from the point of view of their existence, rarity, and performance. We give a lower bound on the number of pairs of linear codes that give rise to a CSS code with good correction…

Information Theory · Computer Science 2024-05-29 Elena Berardini , Alessio Caminata , Alberto Ravagnani

The problem of security of quantum key protocols is examined. In addition to the distribution of classical keys, the problem of encrypting quantum data and the structure of the operators which perform quantum encryption is studied. It is…

Quantum Physics · Physics 2016-09-08 P. Oscar Boykin

Secret sharing is a multiparty cryptographic task in which some secret information is splitted into several pieces which are distributed among the participants such that only an authorized set of participants can reconstruct the original…

Quantum Physics · Physics 2009-11-13 S. Gaertner , C. Kurtsiefer , M. Bourennane , H. Weinfurter

Authentication is a well-studied area of classical cryptography: a sender S and a receiver R sharing a classical private key want to exchange a classical message with the guarantee that the message has not been modified by any third party…

Quantum Physics · Physics 2016-11-18 Howard Barnum , Claude Crepeau , Daniel Gottesman , Adam Smith , Alain Tapp

Methods of quantum mechanics promise information-theoretic security for various protocols in cryptography. However, impossibility of some cryptographic applications such as standard bit commitment, oblivious transfer, multiparty secure…

Quantum Physics · Physics 2015-08-03 Muhammad Nadeem

We explore a generalization of quantum secret sharing (QSS) in which classical shares play a complementary role to quantum shares, exploring further consequences of an idea first studied by Nascimento, Mueller-Quade and Imai (Phys. Rev.…

Quantum Physics · Physics 2009-11-10 Sudhir Kumar Singh , R. Srikanth

Typical multiparty semi-quantum secret sharing (MSQSS) protocols require the dealer to possess full quantum capabilities, while the classical users usually need to perform three operations. To address this practical limitation, this paper…

Quantum Physics · Physics 2025-08-08 Mustapha Anis Younes , Sofia Zebboudj , Abdelhakim Gharbi

We show that a simple eavesdropper listening in on classical communication between potentially entangled quantum parties will eventually be able to impersonate any of the parties. Furthermore, the attack is efficient if one-way puzzles do…

Quantum Physics · Physics 2026-01-06 Luowen Qian , Mark Zhandry

In a realistic situation, the secret sharing of classical or quantum information will involve the transmission of this information through noisy channels. We consider a three qubit pure state. This state becomes a mixed-state when the…

Quantum Physics · Physics 2015-03-17 Satyabrata Adhikari , Indranil Chakrabarty , Pankaj Agrawal

By leveraging quantum-mechanical properties like superposition, entanglement, and interference, quantum computing (QC) offers promising solutions for problems that classical computing has not been able to solve efficiently, such as drug…

Human-Computer Interaction · Computer Science 2025-02-14 Hyeok Kim , Mingyoung J. Jeng , Kaitlin N. Smith
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